Computing the \theta-exact Seiberg-Witten map for arbitrary gauge groups

TL;DR

This paper develops a method to compute -exact Seiberg-Witten maps for any compact gauge group and representation, expanding in gauge coupling or gauge fields, and explicitly works out maps up to third order.

Contribution

It introduces a systematic way to obtain -exact Seiberg-Witten maps for arbitrary gauge groups and representations, extending previous approaches.

Findings

Derived -exact Seiberg-Witten maps for gauge and matter fields

Explicitly computed maps up to third order in gauge fields

Applicable to arbitrary compact gauge groups and unitary representations

Abstract

We discuss how to obtain \theta-exact Seiberg-Witten maps by expanding in the gauge coupling constant or, equivalently, in the number of ordinary gauge fields. We do so for arbitrary compact gauge groups in arbitrary unitary representations. For gauge and matter fields, we fully work out \theta-exact non-hybrid Seiberg-Witten maps up to order three in the number of ordinary gauge fields.